Is 2729 a prime number? What are the divisors of 2729?

## Is 2729 a prime number?

Yes, 2729 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 2729, the only two divisors are 1 and 2729. Therefore 2729 is a prime number.

As a consequence, 2729 is only a multiple of 1 and 2729.

Since 2729 is a prime number, 2729 is also a deficient number, that is to say 2729 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2729 without 2729 itself (that is 1, by definition!).

## Parity of 2729

2729 is an odd number, because it is not evenly divisible by 2.

## Is 2729 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 2729 is about 52.240.

Thus, the square root of 2729 is not an integer, and therefore 2729 is not a square number.

Anyway, 2729 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2729?

The square of a number (here 2729) is the result of the product of this number (2729) by itself (i.e., 2729 × 2729); the square of 2729 is sometimes called "raising 2729 to the power 2", or "2729 squared".

The square of 2729 is 7 447 441 because 2729 × 2729 = 27292 = 7 447 441.

As a consequence, 2729 is the square root of 7 447 441.

## Number of digits of 2729

2729 is a number with 4 digits.

## What are the multiples of 2729?

The multiples of 2729 are all integers evenly divisible by 2729, that is all numbers such that the remainder of the division by 2729 is zero. There are infinitely many multiples of 2729. The smallest multiples of 2729 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2729 too, since 0 × 2729 = 0
• 2729: indeed, 2729 is a multiple of itself, since 2729 is evenly divisible by 2729 (we have 2729 / 2729 = 1, so the remainder of this division is indeed zero)
• 5 458: indeed, 5 458 = 2729 × 2
• 8 187: indeed, 8 187 = 2729 × 3
• 10 916: indeed, 10 916 = 2729 × 4
• 13 645: indeed, 13 645 = 2729 × 5
• etc.

## Nearest numbers from 2729

Find out whether some integer is a prime number